200/x+200/(x+15)=10

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Solution for 200/x+200/(x+15)=10 equation: 


D( x )

x = 0

x+15 = 0

x = 0

x = 0

x+15 = 0

x+15 = 0

x+15 = 0 // - 15

x = -15

x in (-oo:-15) U (-15:0) U (0:+oo)

200/(x+15)+200/x = 10 // - 10

200/(x+15)+200/x-10 = 0

(200*x)/(x*(x+15))+(200*(x+15))/(x*(x+15))+(-10*x*(x+15))/(x*(x+15)) = 0

200*(x+15)-10*x*(x+15)+200*x = 0

400*x-10*x^2-150*x+3000 = 0

250*x-10*x^2+3000 = 0

250*x-10*x^2+3000 = 0

10*(25*x-x^2+300) = 0

25*x-x^2+300 = 0

DELTA = 25^2-(-1*4*300)

DELTA = 1825

DELTA > 0

x = (1825^(1/2)-25)/(-1*2) or x = (-1825^(1/2)-25)/(-1*2)

x = (5*73^(1/2)-25)/(-2) or x = (-5*73^(1/2)-25)/(-2)

10*(x-((5*73^(1/2)-25)/(-2)))*(x-((-5*73^(1/2)-25)/(-2))) = 0

(10*(x-((5*73^(1/2)-25)/(-2)))*(x-((-5*73^(1/2)-25)/(-2))))/(x*(x+15)) = 0

(10*(x-((5*73^(1/2)-25)/(-2)))*(x-((-5*73^(1/2)-25)/(-2))))/(x*(x+15)) = 0 // * x*(x+15)

10*(x-((5*73^(1/2)-25)/(-2)))*(x-((-5*73^(1/2)-25)/(-2))) = 0

( x-((-5*73^(1/2)-25)/(-2)) )

x-((-5*73^(1/2)-25)/(-2)) = 0 // + (-5*73^(1/2)-25)/(-2)

x = (-5*73^(1/2)-25)/(-2)

( x-((5*73^(1/2)-25)/(-2)) )

x-((5*73^(1/2)-25)/(-2)) = 0 // + (5*73^(1/2)-25)/(-2)

x = (5*73^(1/2)-25)/(-2)

x in { (-5*73^(1/2)-25)/(-2), (5*73^(1/2)-25)/(-2) }

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